1 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f146ec56628ed9e1fc34b6157733cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fde91bd6a132a87ddf429c0616df2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
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2 . 设
分别是方程
和
的根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8f0e2a3badda14d6adb4fb2b78f475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae532f979fba9e580a97abff873c2bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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3 . 图(1)是反映某条公共汽车线路收支差额(即营运所得票价收入与付出成本的差)y与乘客量x之间关系的图象.由于目前该条公交线路亏损,请你提出符合图(2)、(3)所示的调整建议_____ .
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4 . 数学课上,老师列出了11个式子,它们分别是:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b0aa9c47a50ab0a2816a71530eea5.png)
,其中有两个式子是错的,它们的正确结果是:___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b0aa9c47a50ab0a2816a71530eea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7266c051fdb847889964985311f182.png)
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5 . 定义集合
上的二元运算“
”见右表所示,如果有一个元素
,对于任意的
,都有
,则称
为A关于运算
的零元.判断A关于运算
的零元是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcee68e7c61f5b2ad24943ce93c3aa59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c66701407d942ef38d482e6b3ffd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07300ff6b465d49a72cf3e2c0501fa6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71ee7a5cfed2f05ad3dcf2ef90638a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c66701407d942ef38d482e6b3ffd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c66701407d942ef38d482e6b3ffd7.png)
![]() | a b c |
a | a b c |
b | b b b |
c | c b a |
d | d b d |
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解题方法
6 . 某安全部门为了保证信息安全传输,采用一种密钥密码系统,其加密、解密原理如下图:
明文
密文
密文
明文
现设解密密钥为:
,如上所示,若密文“3”通过解密后得到明文“8”,则当输入方输入明文为“4”时,接受方所得密文应为“_____________ ”.
明文
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea387bc0af82c576e344710bec19f406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2abf98cb2dc42202c5d433d22d156c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d011b5bece9f197406b247cdb307d8.png)
现设解密密钥为:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41756a5f2af5a0c85a0f9fdaedfcbbb4.png)
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7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d7f4ab455b4f7dbb91059b1fd867e9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8083ba869a421afe6cf588c7893a27a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d7f4ab455b4f7dbb91059b1fd867e9.png)
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8 . 已知集合
,其中
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284470d83a602c0697e46b9c5b9483c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f425b225d1f840fbb0f3a499cbc321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
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9 . 已知函数
对任意的x,
都有
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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10 . 使
恰有2个整数解的正整数n的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db6187cc7a8e5c863f95fa721065f8b.png)
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